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Quantum Entanglement and Magnetic Polarity

Prithvi Pandey

Published Jan 1, 2025• 0 citations
Publisher
DOI
10.2139/ssrn.5147158

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We established important relationships between entanglement measures and the order parameter (spin polarization) in nuclear spin systems controlled by the nuclear magnetic resonance (NMR) technique. Since spin polarization can be easily manipulated by the NMR technique, experimentalists are presented with an opportunity to study the dynamic properties of entanglement, i.e., the creation and evolution of entangled states. Our approach may constitute the basis for researching the relations between the entanglement measures and measurable parameters of order in other quantum systems.
Given an ensemble of nnn spins, at least some of which are partially polarized, we investigate the sharing of this polarization within a subspace of kkk spins. We assume that the sharing results in a pseudopure state, characterized by a single purity parameter which we call the bias. As a concrete example we consider ensembles of spin-1∕21∕21∕2 nuclei in liquid-state nuclear magnetic resonance systems. The shared bias levels are compared with some current entanglement bounds to determine whether the reduced subspaces can give rise to entangled states.